• The Transactions of the Korean Institute of Electrical Engineers D
• /
• v.52 no.9
• /
• pp.511-519
• /
• 2003

In this paper, we considered the design of gain scheduled controllers for linear systems with saturating actuators. Our basic idea is to design a control that uses higher control gain when the states are smaller, and lower gain when it is higher. By doing this, we can avoid the saturation and we can improve the performance. First, we derive a control and a reachable set expressed as LMI form, which minimizes not only the L$_2$ gain from the disturbance to the measured output but also the control is never saturated within this reachable set. Next, the reachable set is divided as nested subsets, and at each nested subset, the control gain is designed to minimize the L$_2$ gain and it is never saturated. Finally, the control gain is scheduled according to the status of states, i.e., the subset in which the states are located. A numerical example is presented to show that our gain scheduled control significantly improves the performance.

• The Transactions of the Korean Institute of Electrical Engineers D
• /
• v.51 no.12
• /
• pp.542-548
• /
• 2002

We consider an unknown linear time invariant plan with static load disturbance. A saturation function nonlinear element is sued to find th one point information in the frequency domain. We analyze an asymmetric self-oscillation caused by static load disturbance with relay feedback and saturation function feedback. We propose a new method to tune a PID controller using a saturation nonlinear feedback element in the presence of asymmetric oscillation. The proposed method does not require the knowledge of plant d.c. gain with an asymmetric oscillation in the plat output.

• Journal of Institute of Control, Robotics and Systems
• /
• v.21 no.12
• /
• pp.1160-1166
• /
• 2015

This paper proposes a decentralized robust adaptive control scheme for robot manipulators with input torque saturation in the presence of uncertainties. The control system should consider the practical problems that the controller gain coefficients of each joint may be nonlinear time-varying and the input torques applied at each joint are saturated. The proposed robot controller overcomes the various uncertainties and the input saturation problem. The proposed controller is comparatively simple and has no robot model parameters. The proposed controller is adjusted by the adaptation laws and the stability of the control system is guaranteed by the Lyapunov function analysis. Simulation results show the validity and robustness of the proposed control scheme.

• Proceedings of the KIEE Conference
• /
• 2005.05a
• /
• pp.141-143
• /
• 2005

An unknown linear time invariant plant with asymmetric oscillation in the output such as a static load disturbance. A saturation function nonlinear element is used to find the one point information in the frequency domain. An asymmetric self-oscillation caused by such as a static load disturbance saturation function feedback is analyzed. a new method to tune a PID controller based on the analysis is proposed in the presence of asymmetric oscillation. The proposed method does not require the knowledge of plant d.c. gain with an asymmetric oscillation in the plant output.

• Journal of Institute of Control, Robotics and Systems
• /
• v.19 no.6
• /
• pp.489-494
• /
• 2013

This paper tackles the problem of designing a dynamic output-feedback control for linear discrete-time norm-bounded uncertain systems with input saturation. By employing a LPV (Linear Parameter Varying) instead of LTI (Linear Time-Invariant) control, the useful information on interpolation parameters appearing in the procedure of representing saturation nonlinearity as a convex polytope is additionally applied in the control design procedure. By solving the addressed problem that can be recast into a convex optimization problem characterized by LMIs (Linear Matrix Inequalities) with one prescribed scalar, the vertices of convex set containing an LPV output-feedback control gain and the associated maximal invariant set of initial states are simultaneously obtained.

• The Transactions of the Korean Institute of Electrical Engineers D
• /
• v.49 no.4
• /
• pp.191-200
• /
• 2000

In practical applications, we frequently encounter the actuator nonlinearity in control systems, and its representative nonlinearity is saturation. A controller designed without considering this saturation nonlinearity is often a source of degradation of performance. To treat the saturation nonlinearity more efficiently, we adopt the multiplicative decomposition and the additive decomposition. Based on these decompositions, we present two controller design methods in the LMI(Linear Matrix Inequality) form that guarantee the L2 gain, from the disturbance to the measured output, is less than or equal to a given value. Finally, we give two examples to show the applicability and usefulness of our results.

• Proceedings of the Optical Society of Korea Conference
• /
• 2009.02a
• /
• pp.499-500
• /
• 2009

• Proceedings of the Computational Structural Engineering Institute Conference
• /
• 2001.04a
• /
• pp.375-382
• /
• 2001

This paper deals with the compensation method of AMD stroke by adopting variable gain feedback control strategy. The gains, generally known to be constant, are designed to have variable values according to the structural responses and the AMD stroke. This strategy has the advantage of compensating AMD stroke under any kind of loadings, on the other hand the conventional strategies work only under the specific loading. The strategy shows that the AMD stroke is compensated to prevent the stroke saturation and the control force is found not affected by the compensating operation while the control force is reduced and the control efficiency is decreased during the compensating operation in the conventional strategies.

• 제어로봇시스템학회:학술대회논문집
• /
• 2003.10a
• /
• pp.2143-2146
• /
• 2003

We propose, for the first time to our knowledge, a novel gain-clamping method for EDFA in WDM Add/Drop networks by introducing a disturbance observer technique. The proposed gain-clamping control input consists of the nominal gain-clamping control such as PI(Proportional and Integral) control and the additional control input for the compensation of the effects caused by channel add/drops. The additional control input is designed using the wellknown disturbance observer technique and can be implemented very easily with general electric elements. We proved the superiority of the new technique over the previous methods by showing simulation result of minimized dips and spikes that appear in power profile of EDFA output.

• Proceedings of the KSME Conference
• /
• 2007.05a
• /
• pp.915-920
• /
• 2007

A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_{2}-gain$ from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.